Question

Use hold all to plot all of these solutions on a single plot. Print
the result and write your differential equation on the

print-out. (in mat-lab)

(B) Your plot from (A) should start with seven solutions on the
left side; but most of these should have joined together before
they reach the right side of the plot. This differential equation
has a bunch of wavy stable equilibrium solutions which all nearby
solutions are pulled towards.

For this part, you must find a location (with error tolerance 0.1)
between two of the initial values from (A) where solutions switch
equilibria. (Initial values above this point should give solutions
going to one equilibrium and initial values below should go to
another.) To find this value, you will need to solve the
differential equation a few more times using different initial
values. (Remember that solutions never cross each other, so if the
y(0)=0 and y(0)=2 solutions go to the same equilibrium then so does
the y(0)=a solution for all 0?a?2 .)

To show that you have found the change point, print a plot
containing two solutions with initial values 0.1 apart, one above
the change point and the other below -- even though these solutions
start close together they should never join each other. (use hold
all to get both of these on the same plot). On the printout write
the critical value which you found.